Question

Write each of the following as decimals $200 + 60 + 5 + \dfrac{1}{{10}}$

Answer 1

Hint: In this question, we are given a number in expanded form and we have to write it in decimal form. For that, we will simply write $\dfrac{1}{{10}}$ in decimal form and then add all the terms. We know that for adding a decimal number to an integer we add the integer with the number present on the left side of the decimal. For example, for adding 4 and $53.27$ , we just add 4 to 53 keeping the digits on the right side of the decimal the same, that is, $4 + 53.27 = 57.27$ . Using the above-mentioned information, we will solve this question.

Complete step-by-step solution:
We have to find $200 + 60 + 5 + \dfrac{1}{{10}}$
First, we add all the integers with each other as –
$
  200 + 60 + 5 + \dfrac{1}{{10}} = 260 + 5 + \dfrac{1}{{10}} \\
   \Rightarrow 200 + 60 + 5 + \dfrac{1}{{10}} = 265 + \dfrac{1}{{10}} \\
 $
Now, we know that $\dfrac{1}{{10}} = 0.1$
So, we get –
$
  200 + 60 + 5 + \dfrac{1}{{10}} = 265 + 0.1 \\
   \Rightarrow 200 + 60 + 5 + \dfrac{1}{{10}} = 265.1 \\
 $
Hence, the decimal form of the number $200 + 60 + 5 + \dfrac{1}{{10}}$ is 265.1.

Note: For converting a number from standard notation to expanded form, we will first identify the position of every digit in the number like units, tens and hundreds place. We know that the place value of a digit at one’s place is 1, at tens place is 10, at hundreds place is 100, the place value of digits after the decimal are –
The place value of digit at the tenth place is $\dfrac{1}{{10}}$ and the place value of the digit at the hundredth place is $\dfrac{1}{{100}}$ . So, on identifying the position of the digits, we multiply the digits with their place value and then add them to get the expanded form of the given number. In the given expanded form, 5 is the digit at the ones place, 6 is the digit at the tens place and 2 is the digit at the hundreds place and 1 is the digit at the tenth place after the decimal.